Obscuring Instability In C Language Using Euler's Modified Method

Abstract

The solutions of ordinary Differential equations having initial value problems are analyzed numerically. Computationally effective numerical methods, Euler's method is given meticulously while Euler's Modified method presented here gives a better exactness. No higher order derivatives are required to be tabulated. Drawbacks and advantages of the methods are discussed here and the results obtained by them have been compared. The idea behind this paper is to illustrate the facts of implementing a small number of steps of Euler's modified method, in addition, how to apply built-in functions available in C++ [1]. Firstly, we use Euler methods to bring in the fundamental thoughts linked with initial value problems (IVP) and then later on, we apply the Euler's Modified method associated to the built-in C++ . The purpose of this paper is to go from textbook formula on ODE to production software.